Stability of Cramer’s Characterization of Normal Laws in Information Distances

DOI10.1007/978-3-319-40519-3_1zbMath1382.60026arXiv1512.03571OpenAlexW2300494053MaRDI QIDQ2954037

Friedrich Götze, Gennadiy P. Chistyakov, Sergey G. Bobkov

Publication date: 11 January 2017

Published in: High Dimensional Probability VII (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03571

zbMATH Keywords

stability problemsCramer's theoremcharacterization of normal laws

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Information theory (general) (94A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Regularized distributions and entropic stability of Cramer's characterization of the normal law
• Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures
• Bounds on the deficit in the logarithmic Sobolev inequality
• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• Superadditivity of Fisher's information and logarithmic Sobolev inequalities
• A reverse entropy power inequality for log-concave random vectors
• On the Problem of Reversibility of the Entropy Power Inequality
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• Information theoretic inequalities
• On the maximum entropy of the sum of two dependent random variables
• Chapter 15 Entropic instability of Cramer’s characterization of the normal law

This page was built for publication: Stability of Cramer’s Characterization of Normal Laws in Information Distances